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Finding the Fourth Proportional to 412,519.16, 569,311.26 and 231,228.20

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Solution

The fourth proportional to 412,519.16, 569,311.26 and 231,228.20 is: 319,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,519.16 : 569,311.26 = 231,228.20 : x
  2. Step 2: Convert to fraction form
    412,519.16/569,311.26 = 231,228.20/x
  3. Step 3: Cross multiply
    412,519.16x = 569,311.26 × 231,228.20
  4. Step 4: Simplify right side
    412,519.16x = 131,640,817,889.53
  5. Step 5: Solve for x
    x = 131,640,817,889.53/412,519.16
  6. Step 6: Final answer
    x = 319,114.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.